Partial group algebra From Wikipedia, the free encyclopedia In mathematics, a partial group algebra is an associative algebra related to the partial representations of a group. Examples The partial group algebra C par ( Z 4 ) {\displaystyle \mathbb {C} _{\text{par}}(\mathbb {Z} _{4})} is isomorphic to the direct sum:[1] C ⊕ C ⊕ C ⊕ C ⊕ C ⊕ C ⊕ C ⊕ M 2 C ⊕ M 3 C {\displaystyle \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathrm {M} _{2}\mathbb {C} \oplus \mathrm {M} _{3}\mathbb {C} } See also Group ring Group representation Notes [1]R. Exel (1998) References Exel, Ruy (1998). "Partial Actions of Groups and Actions of Inverse Semigroups". Proceedings of the American Mathematical Society. 126 (12): 3481–3494. doi:10.1090/S0002-9939-98-04575-4. This group theory-related article is a stub. You can help Wikipedia by adding missing information.vte Related Articles
is isomorphic to the direct sum:[1]
